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Finding the Third Proportional to 6,580 and 8,238

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Solution

The third proportional to 6,580 and 8,238 is: 10,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580 : 8,238 = 8,238 : x
  2. Step 2: Convert to fraction form
    6,580/8,238 = 8,238/x
  3. Step 3: Cross multiply
    6,580x = 8,238 × 8,238
  4. Step 4: Simplify right side
    6,580x = 67,864,644
  5. Step 5: Solve for x
    x = 67,864,644/6,580
  6. Step 6: Final answer
    x = 10,313.78

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.